12435655680 has 704 divisors, whose sum is σ = 51501864960. Its totient is φ = 2786918400.

The previous prime is 12435655649. The next prime is 12435655717. The reversal of 12435655680 is 8655653421.

12435655680 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 565 + 5 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68705190 + ... + 68705370.

Almost surely, 2^12435655680 is an apocalyptic number.

12435655680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12435655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25750932480).

12435655680 is an abundant number, since it is smaller than the sum of its proper divisors (39066209280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12435655680 is a wasteful number, since it uses less digits than its factorization.

12435655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 12435655680 in words is "twelve billion, four hundred thirty-five million, six hundred fifty-five thousand, six hundred eighty".